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Finding the Fourth Proportional to 2,189.84, 3,285.72 and 1,149.60

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Solution

The fourth proportional to 2,189.84, 3,285.72 and 1,149.60 is: 1,724.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.84 : 3,285.72 = 1,149.60 : x
  2. Step 2: Convert to fraction form
    2,189.84/3,285.72 = 1,149.60/x
  3. Step 3: Cross multiply
    2,189.84x = 3,285.72 × 1,149.60
  4. Step 4: Simplify right side
    2,189.84x = 3,777,263.71
  5. Step 5: Solve for x
    x = 3,777,263.71/2,189.84
  6. Step 6: Final answer
    x = 1,724.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.